Description |
ABSTRACT:
The pro-p-Iwahori Hecke algebra H of a reductive p-adic group G over a
commutative ring R is a deformation of the R-algebra of a variant of an
affine Weyl group. When R is a field of characteristic p, it is an
important tool to study the R-representations of G, and deep relations
between the H-modules and the representations of local Galois groups have
been discovered. We will describe the Ram-Goertze alcove walks bases of H
and the Bernstein relations, essential to understand the structure of H
and its modules.
|